Groups of Piecewise Linear Homeomorphisms

DOI10.2307/2154179zbMath0798.20025OpenAlexW4240768513MaRDI QIDQ4018912

Publication date: 16 January 1993

Full work available at URL: https://doi.org/10.2307/2154179

automorphism group homology Thompson's group group of homeomorphisms commutator subgroup finite presentations piecewise linear homeomorphisms finitely presented infinite simple group Higman's group Jónsson-Tarski algebra type $FP_ \infty$actions on simplicial complexes homeomorphisms of the real line homotopy equivalent complex

Mathematics Subject Classification ID

Simple groups (20E32) Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05) Fundamental group, presentations, free differential calculus (57M05) Discontinuous groups of transformations (57S30) Group actions on manifolds and cell complexes in low dimensions (57M60) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05)

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